Respuesta :

Missing part of the question

- 10 in, by 12 in. by 24 in.

- 12 in. by 15 in. by 18-in.

- 10 in. by 16 in. by 20 in.

- 12 in. by 12 in. by 20 in.

Answer:

The possible dimensions of the container are

- 10 in, by 12 in. by 24 in

- 12 in. by 12 in. by 20 in

Step-by-step explanation:

Given

Volume of the container = 2,880 cubic inches

Required

Possible dimensions of the container

To solve this question, the following assumption has to be made;

It'll be assumed that the container is a rectangular

To calculate the volume of a rectangular figure, we simply multiply the dimensions of the figure,

This implies that; we'll test each of the given options.

Which ever gives 2,880 is the right answer.

- 10 in, by 12 in. by 24 in.

[tex]Volume = 10 in * 12 in * 24 in[/tex]

[tex]Volume = 2,880[/tex] cubic inches

- 12 in. by 15 in. by 18-in.

[tex]Volume = 12 in * 15 in * 18 in[/tex]

[tex]Volume = 3,240[/tex] cubic inches

- 10 in. by 16 in. by 20 in.

[tex]Volume = 10 in * 16 in * 20 in[/tex]

[tex]Volume = 3,200[/tex] cubic inches

- 12 in. by 12 in. by 20 in.

[tex]Volume = 12 in * 12 in * 20 in[/tex]

[tex]Volume = 2,880[/tex] cubic inches

From the calculation above, only option A and D gives 2,880;

Hence, the possible dimensions of the container are

- 10 in, by 12 in. by 24 in

- 12 in. by 12 in. by 20 in

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